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# Find an equation of the tangent line to the curve $y = x^4 + 1$ that is parallel to the line $32^x - y = 15.$

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Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

it's clear. So what? You're in here so we have 32 X minus Y is equal to 15. This is equal to the slope. So we need to find an X file. You for rich d of why Over D. If X is equal to 32 so do you. I already excess cool too for X Cube equal to 32. When we get X is equal to two, we plug it into why and we got 17. So we get to calm. A 17 is the point which the tension passes through. Why minus 17 is equal to 32 times X minus two and we get why is equal to 32 x What s 47?

#### Topics

Derivatives

Differentiation

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp